This equation has multiple applications, for instance, in cardiac electrophysiology [1]} and seismology [2]}, because it can be used to model the arrival times of a traveling wave. In the particular form shown in equation REF , the solution \(u(\mbox{$x$}{})\)  can be interpreted as the geodesic distance from the point \(\mbox{$x$}{}_b\)  to any point in the manifold \(\mbox{$x$}{}\) .
